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Simplifying 6n = 30 + 3(n + 4) Reorder the terms: 6n = 30 + 3(4 + n) 6n = 30 + (4 * 3 + n * 3) 6n = 30 + (12 + 3n) Combine like terms: 30 + 12 = 42 6n = 42 + 3n Solving 6n = 42 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 6n + -3n = 42 + 3n + -3n Combine like terms: 6n + -3n = 3n 3n = 42 + 3n + -3n Combine like terms: 3n + -3n = 0 3n = 42 + 0 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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